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Theory of Machine

Theory of Machine
Relationship between the number of links (L) and number of pairs (P) is

P = 2L - 2
P = 2L + 2
P = 2L - 4
P = 2L + 4

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Theory of Machine
A kinematic chain requires at least

2 links and 3 turning pairs
5 links and 4 turning pairs
4 links and 4 turning pairs
3 links and 4 turning pairs

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Theory of Machine
When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

ω² r {n/(n - 1)}
ω² r {(n - 1)/n}
ω² r {n/(n + 1)}
ω² r {(n + 1)/n}

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Theory of Machine
A shaft carrying three rotors will have

One node
Three nodes
Two nodes
No node

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Theory of Machine
The cam and follower is an example of

Lower pair
Higher pair
Sliding pair
Rolling pair

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Theory of Machine
The swaying couple is maximum or minimum when the angle of inclination of the crank to the line of stroke (θ) is equal to

180° and 270°
270° and 360°
45° and 225°
90° and 180°

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